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If a trapezoid has a base measure of 90 and a midsegment length of 85 what is the measure of the other base?
Wiki User
∙ 13y ago
The Trapezoid midsegment conjecture- the midsegment of a trapezoid is parallel to the bases and is equal to the length to the average of the lengths of the bases.
This is Some what Algebra.......
what you do is take your length 90 and midsegment 85
into a prob like this
(90+X)/2=85
times by two on both sides to cancel out the two. after that you end up with
90+X=85
next you have to "isolate" the X by subtracting 90 from both sides
you would get
90+X=85
-90 -90
to get
X= -5
the other side would be -5 so it doesnt work
to check it plug the number back into the equation
(90+-5)/2=85
Wiki User
∙ 13y ago
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What other shape can a trapezoid be?
A trapezoid can also be a parallelogram if its non-parallel sides are of equal length.
What is a trapezoid with even legs?
A trapezoid with even legs is a geometric shape where both of the non-parallel sides (or legs) are of equal length. The parallel sides, on the other hand, are not necessarily equal in length.
If the length of the bases of an isosceles trapezoid are known can you compute the measure of the internal angles?
Let's do an example.Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:tan (base angle of the trapezoid) = 4/3, andthe base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.
How would you construct an isosceles trapezoid given the length of the top and the bottom and the length of the diagonal?
A trapezoid is a quadrilateral with one pair of parallel sides. Within an isosceles trapezoid, the angles at the base will be identical, and the two sides will be congruent. If you have the length of the base and the top, and the length of the diagonal, you can build this figure. Draw a line for the base, as you already know its length. Then set your compass to the length of the diagonal. With that length set, place your compass on each end of the base you drew, and draw an arc starting along the line of the base and going up to a point straight up from the point of the compass, which is on the end of the base. The top of your isosceles trapezoid will have endpoints on these arcs and (naturally) be parallel to the base. With the base drawn and the two arcs scribed, find the difference between the length of the base and the length of the top of the trapezoid. With the difference calculated, divide this length in half, and measure in from the endpoints of your base and mark this point. The endpoints of the top of the trapezoid will be on a line that is the verticle from these points you marked. Make a right angle at the points, and then draw a line vertically to the arcs you scribed. Where the verticals intersect the arcs will be the endpoints of the top of the trapezoid. With those points now discovered, draw a line from one of them to the other, and that will be the top of your trapezoid. You have drawn your isosceles trapezoid from the dimensions of its base, top and its diagonal.
Example of a trapezoid?
A trapezoid is a quadrilateral in which only one pair of opposite sides are parallel to each other. Also, no sides are the same length, and no angles are the same size.
What other shape can a trapezoid be?
A trapezoid can also be a parallelogram if its non-parallel sides are of equal length.
Is a trapezoid a irregular polygon?
Yes. In a regular polygon, all sides have the same length, and all angles have the same measure. By the definition of a trapezoid (the only condition is that there are two parallel sides), in general these conditions are not fulfilled. Of course, a square is also a trapezoid, but other trapezoids don't fulfill the conditions for a regular polygon.Yes. In a regular polygon, all sides have the same length, and all angles have the same measure. By the definition of a trapezoid (the only condition is that there are two parallel sides), in general these conditions are not fulfilled. Of course, a square is also a trapezoid, but other trapezoids don't fulfill the conditions for a regular polygon.Yes. In a regular polygon, all sides have the same length, and all angles have the same measure. By the definition of a trapezoid (the only condition is that there are two parallel sides), in general these conditions are not fulfilled. Of course, a square is also a trapezoid, but other trapezoids don't fulfill the conditions for a regular polygon.Yes. In a regular polygon, all sides have the same length, and all angles have the same measure. By the definition of a trapezoid (the only condition is that there are two parallel sides), in general these conditions are not fulfilled. Of course, a square is also a trapezoid, but other trapezoids don't fulfill the conditions for a regular polygon.
What is a trapezoid with even legs?
A trapezoid with even legs is a geometric shape where both of the non-parallel sides (or legs) are of equal length. The parallel sides, on the other hand, are not necessarily equal in length.
If the length of the bases of an isosceles trapezoid are known can you compute the measure of the internal angles?
Let's do an example.Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:tan (base angle of the trapezoid) = 4/3, andthe base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.
How does a trapezoid differ from other quadrangles?
A trapezoid has only one pair of parallel sides while other quadrilaterals have two pairs of parallel sides. also the trapezoid doesn't have to have any sides that are equal in length.
How do you describe a trapezoid by dimensions?
A trapezoid is a quadrilateral shape that has four sides of unequal lengths two of which are parallel to each other. An isosceles trapezoid also has two parallel sides but with two other sides being of equal length.
What is the difference between an isosceles trapezoid and an isosceles triangle?
An Isosceles trapezoid has four sides (is a quadrilateral) with a pair of parallel sides and the other two sides of equal length; whereas An isosceles triangle has three sides with a pair of sides of the same length and the other side a different length.
How would you construct an isosceles trapezoid given the length of the top and the bottom and the length of the diagonal?
A trapezoid is a quadrilateral with one pair of parallel sides. Within an isosceles trapezoid, the angles at the base will be identical, and the two sides will be congruent. If you have the length of the base and the top, and the length of the diagonal, you can build this figure. Draw a line for the base, as you already know its length. Then set your compass to the length of the diagonal. With that length set, place your compass on each end of the base you drew, and draw an arc starting along the line of the base and going up to a point straight up from the point of the compass, which is on the end of the base. The top of your isosceles trapezoid will have endpoints on these arcs and (naturally) be parallel to the base. With the base drawn and the two arcs scribed, find the difference between the length of the base and the length of the top of the trapezoid. With the difference calculated, divide this length in half, and measure in from the endpoints of your base and mark this point. The endpoints of the top of the trapezoid will be on a line that is the verticle from these points you marked. Make a right angle at the points, and then draw a line vertically to the arcs you scribed. Where the verticals intersect the arcs will be the endpoints of the top of the trapezoid. With those points now discovered, draw a line from one of them to the other, and that will be the top of your trapezoid. You have drawn your isosceles trapezoid from the dimensions of its base, top and its diagonal.
How would you construct an isosceles trapazoid if only given the base angles and the length of the diagonal?
You can't construct a specific trapezoid. You need to know the length of at least one other side, otherwise the width of the trapezoid is indeterminable.
Example of a trapezoid?
A trapezoid is a quadrilateral in which only one pair of opposite sides are parallel to each other. Also, no sides are the same length, and no angles are the same size.
What are all parts of a trapezoid?
Two bases that are parallel to each other and two sides that are of unequal lengths unless it is an isosceles trapezoid whereas the sides will be equal in length.
What are the properties of an isosceles trapezoid?
One pair of parallel sides of unequal length, the other two sides being of equal length but not parallel. there are other properties that can be derived from these.
